Appendix IL 849
.v be increased till it equals kL Then BM1 = zero, or
from which, solving the quadratic,
x or $/ = "2i il.
Let a fixed beam A B be loaded in aay general or unsymme-
iriral manner as in Fig. Si 2, The curve of B,n for free load is
fcnmd at abc. The reactionary moment curve defg is next to
ins obtained. The two areas rz/'rant! defg must now not only
t»t* i.'(}ual, but their rentroids nuist lie on a common vertical.
If then x shew the value of the free area ct^as also the position
wf its rcntroid, v and "/, tiuwt be placed at -|/ and of such value
«* to x in the manner of parallel forces, -where y 4- z « x.
'fhcn area /// - ¥ and dgf^t^ from whieh the moments ^^
!/«» be ciedwred. Lastly the resulting moment curve Bf
w «t)taiiii!(I by sujperposition.
VIIL, Fig, 401, p. 443, k *hevrn in ciowbl^ at the top
of Fig, 81$ next
Bending Moments for Continuoms Girdera
—The may be farther to these